Solve. Write your answer in interval notation.

Solution
Interval Notation

Ask by Osborne Beck. in the United States

Jan 23,2025

Question

Solve. Write your answer in interval notation. $$ -13 \leq 3+8 p \leq 11 $$ Solution Interval Notation

UpStudy AI · Accepted Answer

To solve the inequality $$ -13 \leq 3 + 8p \leq 11 $$, follow these steps:

1. **Subtract 3 from all parts of the inequality:**
   $$
   -13 - 3 \leq 8p \leq 11 - 3
   $$
   $$
   -16 \leq 8p \leq 8
   $$

2. **Divide all parts by 8 to solve for $$ p $$:**
   $$
   \frac{-16}{8} \leq p \leq \frac{8}{8}
   $$
   $$
   -2 \leq p \leq 1
   $$

3. **Express the solution in interval notation:**
   $$
   [-2, 1]
   $$

**Final Answer:**
$$\boxed{\,[-2,\ 1]\,}$$
$$-2 \leq p \leq 1$$, which is written in interval notation as $$[-2, 1]$$.

Solve. Write your answer in interval notation.

Solution
Interval Notation